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| 1 | +#ifdef __cplusplus |
| 2 | +#define MINPACK_EXTERN extern "C" |
| 3 | +#else |
| 4 | +#define MINPACK_EXTERN extern |
| 5 | +#endif |
| 6 | + |
| 7 | +MINPACK_EXTERN double |
| 8 | +minpack_dpmpar(int /* i */); |
| 9 | + |
| 10 | +typedef void (*minpack_func)( |
| 11 | + int /* n */, |
| 12 | + const double* /* x */, |
| 13 | + double* /* fvec */, |
| 14 | + int* /* iflag */, |
| 15 | + void* /* udata */); |
| 16 | + |
| 17 | +/* |
| 18 | + * the purpose of hybrd is to find a zero of a system of |
| 19 | + * n nonlinear functions in n variables by a modification |
| 20 | + * of the powell hybrid method. the user must provide a |
| 21 | + * subroutine which calculates the functions. the jacobian is |
| 22 | + * then calculated by a forward-difference approximation. |
| 23 | + */ |
| 24 | +MINPACK_EXTERN void |
| 25 | +minpack_hybrd( |
| 26 | + minpack_func /* fcn */, |
| 27 | + int /* n */, |
| 28 | + double* /* x */, |
| 29 | + double* /* fvec */, |
| 30 | + double /* xtol */, |
| 31 | + int /* maxfev */, |
| 32 | + int /* ml */, |
| 33 | + int /* mu */, |
| 34 | + double /* epsfcn */, |
| 35 | + double* /* diag */, |
| 36 | + int /* mode */, |
| 37 | + double /* factor */, |
| 38 | + int /* nprint */, |
| 39 | + int* /* info */, |
| 40 | + int* /* nfev */, |
| 41 | + double* /* fjac */, |
| 42 | + int /* ldfjac */, |
| 43 | + double* /* r */, |
| 44 | + int /* lr */, |
| 45 | + double* /* qtf */, |
| 46 | + double* /* wa1 */, |
| 47 | + double* /* wa2 */, |
| 48 | + double* /* wa3 */, |
| 49 | + double* /* wa4 */, |
| 50 | + void* /* udata */); |
| 51 | + |
| 52 | +/* |
| 53 | + * the purpose of hybrd1 is to find a zero of a system of |
| 54 | + * n nonlinear functions in n variables by a modification |
| 55 | + * of the powell hybrid method. this is done by using the |
| 56 | + * more general nonlinear equation solver hybrd. the user |
| 57 | + * must provide a subroutine which calculates the functions. |
| 58 | + * the jacobian is then calculated by a forward-difference |
| 59 | + * approximation. |
| 60 | + */ |
| 61 | +MINPACK_EXTERN void |
| 62 | +minpack_hybrd1( |
| 63 | + minpack_func /* fcn */, |
| 64 | + int /* n */, |
| 65 | + double* /* x */, |
| 66 | + double* /* fvec */, |
| 67 | + double /* tol */, |
| 68 | + int* /* info */, |
| 69 | + double* /* wa */, |
| 70 | + int /* lwa */, |
| 71 | + void* /* udata */); |
| 72 | + |
| 73 | +typedef void (*minpack_fcn_hybrj)( |
| 74 | + int /* n */, |
| 75 | + const double* /* x */, |
| 76 | + double* /* fvec */, |
| 77 | + double* /* fjac */, |
| 78 | + int /* ldfjac */, |
| 79 | + int* /* iflag */, |
| 80 | + void* /* udata */); |
| 81 | + |
| 82 | +/* |
| 83 | + * the purpose of hybrj is to find a zero of a system of |
| 84 | + * n nonlinear functions in n variables by a modification |
| 85 | + * of the powell hybrid method. the user must provide a |
| 86 | + * subroutine which calculates the functions and the jacobian. |
| 87 | + */ |
| 88 | +MINPACK_EXTERN void |
| 89 | +minpack_hybrj( |
| 90 | + minpack_fcn_hybrj /* fcn */, |
| 91 | + int /* n */, |
| 92 | + double* /* x */, |
| 93 | + double* /* fvec */, |
| 94 | + double* /* fjac */, |
| 95 | + int /* ldfjac */, |
| 96 | + double /* xtol */, |
| 97 | + int /* maxfev */, |
| 98 | + double* /* diag */, |
| 99 | + int /* mode */, |
| 100 | + double /* factor */, |
| 101 | + int /* nprint */, |
| 102 | + int* /* info */, |
| 103 | + int* /* nfev */, |
| 104 | + int* /* njev */, |
| 105 | + double* /* r */, |
| 106 | + int /* lr */, |
| 107 | + double* /* qtf */, |
| 108 | + double* /* wa1 */, |
| 109 | + double* /* wa2 */, |
| 110 | + double* /* wa3 */, |
| 111 | + double* /* wa4 */, |
| 112 | + void* /* udata */); |
| 113 | + |
| 114 | +/* |
| 115 | + * The purpose of hybrj1 is to find a zero of a system of |
| 116 | + * n nonlinear functions in n variables by a modification |
| 117 | + * of the powell hybrid method. this is done by using the |
| 118 | + * more general nonlinear equation solver hybrj. the user |
| 119 | + * must provide a subroutine which calculates the functions |
| 120 | + * and the jacobian. |
| 121 | + */ |
| 122 | +MINPACK_EXTERN void |
| 123 | +minpack_hybrj1( |
| 124 | + minpack_fcn_hybrj /* fcn */, |
| 125 | + int /* n */, |
| 126 | + double* /* x */, |
| 127 | + double* /* fvec */, |
| 128 | + double* /* fjac */, |
| 129 | + int /* ldfjac */, |
| 130 | + double /* tol */, |
| 131 | + int* /* info */, |
| 132 | + double* /* wa */, |
| 133 | + int /* lwa */, |
| 134 | + void* /* udata */); |
| 135 | + |
| 136 | +typedef void (*minpack_fcn_lmder)( |
| 137 | + int /* m */, |
| 138 | + int /* n */, |
| 139 | + const double* /* x */, |
| 140 | + double* /* fvec */, |
| 141 | + double* /* fjac */, |
| 142 | + int /* ldfjac */, |
| 143 | + int* /* iflag */, |
| 144 | + void* /* udata */); |
| 145 | + |
| 146 | +/* |
| 147 | + * the purpose of lmder is to minimize the sum of the squares of |
| 148 | + * m nonlinear functions in n variables by a modification of |
| 149 | + * the levenberg-marquardt algorithm. the user must provide a |
| 150 | + * subroutine which calculates the functions and the jacobian. |
| 151 | + */ |
| 152 | +MINPACK_EXTERN void |
| 153 | +minpack_lmder( |
| 154 | + minpack_fcn_lmder /* fcn */, |
| 155 | + int /* m */, |
| 156 | + int /* n */, |
| 157 | + double* /* x */, |
| 158 | + double* /* fvec */, |
| 159 | + double* /* fjac */, |
| 160 | + int /* ldfjac */, |
| 161 | + double /* ftol */, |
| 162 | + double /* xtol */, |
| 163 | + double /* gtol */, |
| 164 | + int /* maxfev */, |
| 165 | + double* /* diag */, |
| 166 | + int /* mode */, |
| 167 | + double /* factor */, |
| 168 | + int /* nprint */, |
| 169 | + int* /* info */, |
| 170 | + int* /* nfev */, |
| 171 | + int* /* njev */, |
| 172 | + int* /* ipvt */, |
| 173 | + double* /* qtf */, |
| 174 | + double* /* wa1 */, |
| 175 | + double* /* wa2 */, |
| 176 | + double* /* wa3 */, |
| 177 | + double* /* wa4 */, |
| 178 | + void* /* udata */); |
| 179 | + |
| 180 | +/* |
| 181 | + * the purpose of lmder1 is to minimize the sum of the squares of |
| 182 | + * m nonlinear functions in n variables by a modification of the |
| 183 | + * levenberg-marquardt algorithm. this is done by using the more |
| 184 | + * general least-squares solver lmder. the user must provide a |
| 185 | + * subroutine which calculates the functions and the jacobian. |
| 186 | + */ |
| 187 | +void minpack_lmder1( |
| 188 | + minpack_fcn_lmder /* fcn */, |
| 189 | + int /* m */, |
| 190 | + int /* n */, |
| 191 | + double /* *x */, |
| 192 | + double /* *fvec */, |
| 193 | + double /* *fjac */, |
| 194 | + int /* ldfjac */, |
| 195 | + double /* tol */, |
| 196 | + int /* *info */, |
| 197 | + int /* *ipvt */, |
| 198 | + double /* *wa */, |
| 199 | + int /* lwa */, |
| 200 | + void* /* udata */); |
| 201 | + |
| 202 | +typedef void (*minpack_func2)( |
| 203 | + int /* m */, |
| 204 | + int /* n */, |
| 205 | + const double* /* x */, |
| 206 | + double* /* fvec */, |
| 207 | + int* /* iflag */, |
| 208 | + void* /* udata */); |
| 209 | + |
| 210 | +/* |
| 211 | + * the purpose of lmdif is to minimize the sum of the squares of |
| 212 | + * m nonlinear functions in n variables by a modification of |
| 213 | + * the levenberg-marquardt algorithm. the user must provide a |
| 214 | + * subroutine which calculates the functions. the jacobian is |
| 215 | + * then calculated by a forward-difference approximation. |
| 216 | + */ |
| 217 | +MINPACK_EXTERN void |
| 218 | +minpack_lmdif( |
| 219 | + minpack_func2 /* fcn */, |
| 220 | + int /* m */, |
| 221 | + int /* n */, |
| 222 | + double* /* x */, |
| 223 | + double* /* fvec */, |
| 224 | + double /* ftol */, |
| 225 | + double /* xtol */, |
| 226 | + double /* gtol */, |
| 227 | + int /* maxfev */, |
| 228 | + double /* epsfcn */, |
| 229 | + double* /* diag */, |
| 230 | + int /* mode */, |
| 231 | + double /* factor */, |
| 232 | + int /* nprint */, |
| 233 | + int* /* info */, |
| 234 | + int* /* nfev */, |
| 235 | + double* /* fjac */, |
| 236 | + int /* ldfjac */, |
| 237 | + int* /* ipvt */, |
| 238 | + double* /* qtf */, |
| 239 | + double* /* wa1 */, |
| 240 | + double* /* wa2 */, |
| 241 | + double* /* wa3 */, |
| 242 | + double* /* wa4 */, |
| 243 | + void* /* udata */); |
| 244 | + |
| 245 | +/* |
| 246 | + * the purpose of lmdif1 is to minimize the sum of the squares of |
| 247 | + * m nonlinear functions in n variables by a modification of the |
| 248 | + * levenberg-marquardt algorithm. this is done by using the more |
| 249 | + * general least-squares solver lmdif. the user must provide a |
| 250 | + * subroutine which calculates the functions. the jacobian is |
| 251 | + * then calculated by a forward-difference approximation. |
| 252 | + */ |
| 253 | +void minpack_lmdif1( |
| 254 | + minpack_func2 /* fcn */, |
| 255 | + int /* m */, |
| 256 | + int /* n */, |
| 257 | + double* /* x */, |
| 258 | + double* /* fvec */, |
| 259 | + double /* tol */, |
| 260 | + int* /* info */, |
| 261 | + int* /* iwa */, |
| 262 | + double* /* wa */, |
| 263 | + int /* lwa */, |
| 264 | + void* /* udata */); |
| 265 | + |
| 266 | +typedef void (*minpack_fcn_lmstr)( |
| 267 | + int /* m */, |
| 268 | + int /* n */, |
| 269 | + const double* /* x */, |
| 270 | + double* /* fvec */, |
| 271 | + double* /* fjrow */, |
| 272 | + int* /* iflag */, |
| 273 | + void* /* udata */); |
| 274 | + |
| 275 | +/* |
| 276 | + * the purpose of lmstr is to minimize the sum of the squares of |
| 277 | + * m nonlinear functions in n variables by a modification of |
| 278 | + * the levenberg-marquardt algorithm which uses minimal storage. |
| 279 | + * the user must provide a subroutine which calculates the |
| 280 | + * functions and the rows of the jacobian. |
| 281 | + */ |
| 282 | +MINPACK_EXTERN void |
| 283 | +minpack_lmstr( |
| 284 | + minpack_fcn_lmstr /* fcn */, |
| 285 | + int /* m */, |
| 286 | + int /* n */, |
| 287 | + double* /* x */, |
| 288 | + double* /* fvec */, |
| 289 | + double* /* fjac */, |
| 290 | + int /* ldfjac */, |
| 291 | + double /* ftol */, |
| 292 | + double /* xtol */, |
| 293 | + double /* gtol */, |
| 294 | + int /* maxfev */, |
| 295 | + double* /* diag */, |
| 296 | + int /* mode */, |
| 297 | + double /* factor */, |
| 298 | + int /* nprint */, |
| 299 | + int* /* info */, |
| 300 | + int* /* nfev */, |
| 301 | + int* /* njev */, |
| 302 | + int* /* ipvt */, |
| 303 | + double* /* qtf */, |
| 304 | + double* /* wa1 */, |
| 305 | + double* /* wa2 */, |
| 306 | + double* /* wa3 */, |
| 307 | + double* /* wa4 */, |
| 308 | + void* /* udata */); |
| 309 | + |
| 310 | +/* |
| 311 | + * the purpose of lmstr1 is to minimize the sum of the squares of |
| 312 | + * m nonlinear functions in n variables by a modification of |
| 313 | + * the levenberg-marquardt algorithm which uses minimal storage. |
| 314 | + * this is done by using the more general least-squares solver |
| 315 | + * lmstr. the user must provide a subroutine which calculates |
| 316 | + * the functions and the rows of the jacobian. |
| 317 | + */ |
| 318 | +MINPACK_EXTERN void |
| 319 | +minpack_lmstr1( |
| 320 | + minpack_fcn_lmstr /* fcn */, |
| 321 | + int /* m */, |
| 322 | + int /* n */, |
| 323 | + double* /* x */, |
| 324 | + double* /* fvec */, |
| 325 | + double* /* fjac */, |
| 326 | + int /* ldfjac */, |
| 327 | + double /* tol */, |
| 328 | + int* /* info */, |
| 329 | + int* /* ipvt */, |
| 330 | + double* /* wa */, |
| 331 | + int /* lwa */, |
| 332 | + void* /* udata */); |
| 333 | + |
| 334 | +/* |
| 335 | + * this subroutine checks the gradients of m nonlinear functions |
| 336 | + * in n variables, evaluated at a point x, for consistency with |
| 337 | + * the functions themselves. |
| 338 | + * |
| 339 | + * the subroutine does not perform reliably if cancellation or |
| 340 | + * rounding errors cause a severe loss of significance in the |
| 341 | + * evaluation of a function. therefore, none of the components |
| 342 | + * of x should be unusually small (in particular, zero) or any |
| 343 | + * other value which may cause loss of significance. |
| 344 | + */ |
| 345 | +MINPACK_EXTERN void |
| 346 | +minpack_chkder( |
| 347 | + int /* m */, |
| 348 | + int /* n */, |
| 349 | + const double* /* x */, |
| 350 | + const double* /* fvec */, |
| 351 | + const double* /* fjac */, |
| 352 | + int /* ldfjac */, |
| 353 | + double* /* xp */, |
| 354 | + const double* /* fvecp */, |
| 355 | + int /* mode */, |
| 356 | + double* /* err */); |
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